How can I simplify a 12+ order symbolic determination to its simplest form in mma?
The second example(In[2]) below should be a polynomial of x with maximal order of 12. But, mma gives a polynomial of x^192.
In[1]:
b1 = RandomReal[{0, 1}, {11, 11}];
c1 = Table[b1[[i, j]] + x, {i, 1, 11}, {j, 1, 11}];
Print[c1 // MatrixForm];
d = Simplify[Expand[Det[c1]]]
Out[1]:
0.033469 + 0.076227 x - 2.22045*10^-16 x^2 + 5.99675*10^-17 x^3 - 4.19082*10^-31 x^4 + 1.12616*10^-31 x^5 - 5.47382*10^-47 x^6 + 1.64215*10^-47 x^7
In[2]:
b1 = RandomReal[{0, 1}, {12, 12}];
c1 = Table[b1[[i, j]] + x, {i, 1, 12}, {j, 1, 12}];
d = Simplify[Expand[Det[c1]]]
Out[2]:
`......` -8.17867*10^9 x^184 - 6.51297*10^8 x^185 - 4.49969*10^7 x^186 -
2.64212*10^6 x^187 - 128194. x^188 - 4934.19 x^189 -
141.247 x^190 - 2.67311 x^191 -
0.0250846 x^192)/(((0.214925 + x)^10) ((0.647147 +
1. x)^9) ((0.289144 + 1.56025 x + 1. x^2)^8) ......
